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Question

A ball moves horizontally in a closed box making several collisions with the walls. The box is kept on a smooth horizontal surface. During the motion of the ball, the velocity of the center of mass :

A
of the box remains constant.
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B
of the box plus the ball system remains constant.
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C
of the ball remains constant.
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D
of the ball relative to the box remains constant.
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Solution

The correct option is B of the box plus the ball system remains constant.
Consider your system as the box + ball.
All forces acting on the system are internal (equal and opposite)
i.e. net force acting on the system is zero.
i.e. the velocity of center of mass remains constant.

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